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spin [16.1K]
3 years ago
12

PLEASE HELP ME THANK YOU IF U DO

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

B (r= 1/6s)

Step-by-step explanation:

If you just work out each option, you'll see that "s" multiplied by 1/6 gets r.

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A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 unit
Wittaler [7]

Given:

A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 units.

To find:

Whether the student is correct or not.

Solution:

Initial equation is

y=3x

f(x)=3x

Equation of after transformation is

y=3(x+8)

g(x)=3(x+8)

Now,

g(x)=f(x+8)      ...(i)

The translation is defined as

g(x)=f(x+a)+b        ...(ii)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (i) and (ii), we get

a=8\text{ and }b=0

Therefore, the graph of y=3x translated left by 8 units. Hence, the student is wrong.

8 0
2 years ago
What is the length of the apothem, rounded to the nearest inch? recall that in a regular hexagon, the length of the radius is eq
NNADVOKAT [17]

Answer:

Step-by-step explanation:

What is the length of the apothem, rounded to the nearest inch? recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon. 4 in. 5 in. 9 in. 11 in.

8 0
1 year ago
Read 2 more answers
A physician orders 140mg of a medication to give orally. You have 125mg/5mL on hand. What is the correct dose of medication to g
adelina 88 [10]
<h2>Hello!</h2>

The answer is: The correct dose of medication to give is 5.6 mL

<h2>Why?</h2>

To solve this problem we need to establish a relationship between the prescripted medication and the available solution.

Let's write the needed equations to establish the relantionship:

\frac{125mg}{5mL}=1\\\\125mg=5mL

The available solution means 125 mg each 5 mL of solution, so:

\frac{125mg}{5mL}=\frac{140mg}{x}\\\\x*\frac{125mg}{5mL}=140mg\\\\x=140mg*\frac{5ml}{125mg}=\frac{700mg*mL}{125mg}=5.6mL

Hence, the correct dose of medication to give is 5.6 mL of the 125 mg/5mL solution.

Have a nice day!

3 0
3 years ago
A-One Talent Agency has 108 clients. 42 of the clients play piano and 51 of the clients play guitar.
Butoxors [25]

Thwre are 28 clients who don not play any of the instrument using the principle of Venn distribution.

<u>Using a Venn diagram analogy</u> :

  • Total number of client, U = 108
  • Piano, P = 42
  • Guitar, G = 51
  • Piano and Guitar, (PnG) = 13
  • None =?

<u>From the information given</u> :

  • P only = 42 - 13 = 29
  • G only = 51 - 13 = 38

<u>The total number of clients can be related thus</u> :

  • Total = P only + G only + PnG + None

108 = 29 + 38 + 13 + None

108 = 80 + None

None = 108 - 80

None = 28

Therefore, the number of clients who do not play any of the instruments is 28

Learn more :brainly.com/question/12570490

7 0
3 years ago
-3/2t=-9 please help. its for a test
11111nata11111 [884]

-\frac{3}{2}t=-9\\\\t=-9:(-\frac{3}{2})\\\\t=-9\cdot(-\frac{2}{3})\\\\t=\frac{18}{3}\rightarrow\boxed{t=6}

3 0
3 years ago
Read 2 more answers
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